• Medientyp: E-Artikel
  • Titel: On the Expressive Power of Non-Linear Merge-and-Shrink Representations
  • Beteiligte: Helmert, Malte; Röger, Gabriele; Sievers, Silvan
  • Erschienen: Association for the Advancement of Artificial Intelligence (AAAI), 2015
  • Erschienen in: Proceedings of the International Conference on Automated Planning and Scheduling
  • Sprache: Nicht zu entscheiden
  • DOI: 10.1609/icaps.v25i1.13732
  • ISSN: 2334-0835; 2334-0843
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  • Beschreibung: <jats:p> We prove that general merge-and-shrink representations are strictly more powerful than linear ones by showing that there exist problem families that can be represented compactly with general merge-and-shrink representations but not with linear ones. We also give a precise bound that quantifies the necessary blowup incurred by conversions from general merge-and-shrink representations to linear representations or BDDs/ADDs. Our theoretical results suggest an untapped potential for non-linear merging strategies and for the use of non-linear merge-and-shrink-like representations within symbolic search. </jats:p>